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Finding the Fourth Proportional to 32.29, 44.56 and 17.74

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Solution

The fourth proportional to 32.29, 44.56 and 17.74 is: 24.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.29 : 44.56 = 17.74 : x
  2. Step 2: Convert to fraction form
    32.29/44.56 = 17.74/x
  3. Step 3: Cross multiply
    32.29x = 44.56 × 17.74
  4. Step 4: Simplify right side
    32.29x = 790.27
  5. Step 5: Solve for x
    x = 790.27/32.29
  6. Step 6: Final answer
    x = 24.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.